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Finding the Third Proportional to 605,448 and 1,315,696

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Solution

The third proportional to 605,448 and 1,315,696 is: 2,859,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,448 : 1,315,696 = 1,315,696 : x
  2. Step 2: Convert to fraction form
    605,448/1,315,696 = 1,315,696/x
  3. Step 3: Cross multiply
    605,448x = 1,315,696 × 1,315,696
  4. Step 4: Simplify right side
    605,448x = 1,731,055,964,416
  5. Step 5: Solve for x
    x = 1,731,055,964,416/605,448
  6. Step 6: Final answer
    x = 2,859,132.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.